Abstract
We show that, under a condition called minimality, if the Stokes matrix of a connection with a pole of order two and no ramification gives rise, when added to its adjoint, to a positive semidefinite Hermitian form, then the associated integrable twistor structure (or TERP structure, or noncommutative Hodge structure) is pure and polarized.
| Original language | English |
|---|---|
| Pages (from-to) | 635-674 |
| Number of pages | 40 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jul 2011 |
Keywords
- Hermitian pairing
- Laplace transformation
- Stokes matrix
- meromorphic connection
- non-commutative Hodge structure